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Finding the Fourth Proportional to 298.22, 411.80 and 200.03

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Solution

The fourth proportional to 298.22, 411.80 and 200.03 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 411.80 = 200.03 : x
  2. Step 2: Convert to fraction form
    298.22/411.80 = 200.03/x
  3. Step 3: Cross multiply
    298.22x = 411.80 × 200.03
  4. Step 4: Simplify right side
    298.22x = 82,372.35
  5. Step 5: Solve for x
    x = 82,372.35/298.22
  6. Step 6: Final answer
    x = 276.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.